λ
Ratio Atlas

91,075,007

91075007
Deficient Odd Prime

91,075,007 factors as 91075007. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 91075007
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 91,075,008
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #91075003 ← → #91075027

Radix Representation

Decimal 91075007
Binary 101011011011011000110111111 (27 bits)
Octal 0o533330677
Hexadecimal 0x56DB1BF

Divisor Catalog (2)

Collatz Trajectory (156 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

91,075,007 273,225,022 136,612,511 409,837,534 204,918,767 614,756,302 307,378,151 922,134,454 461,067,227 1,383,201,682 691,600,841 2,074,802,524 1,037,401,262 518,700,631 1,556,101,894 778,050,947 2,334,152,842 1,167,076,421 3,501,229,264 1,750,614,632 875,307,316 437,653,658 218,826,829 656,480,488 328,240,244 164,120,122 82,060,061 246,180,184 123,090,092 61,545,046 30,772,523 92,317,570 46,158,785 138,476,356 69,238,178 34,619,089 103,857,268 51,928,634 25,964,317 77,892,952 38,946,476 19,473,238 9,736,619 29,209,858 14,604,929 43,814,788 21,907,394 10,953,697 32,861,092 16,430,546 8,215,273 24,645,820 12,322,910 6,161,455 18,484,366 9,242,183 27,726,550 13,863,275 41,589,826 20,794,913

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